https://doi.org/10.1007/s100510050482
Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model *
Department of Physics, Graduate School of Science,
University of Tokyo,
Hongo 7-3-1, Bunkyo, Tokyo 113-0033, Japan
Corresponding authors: a hikami@phys.s.u-tokyo.ac.jp - b komori@monet.phys.s.u-tokyo.ac.jp
Received:
29
January
1998
Accepted:
17
April
1998
Published online: 15 October 1998
Studied is the elliptic Ruijsenaars model, which is a difference analogue of the Calogero-Sutherland-Moser model. Using a novel relationship between the elliptic Ruijsenaars operator and the transfer matrix of the Belavin model, we diagonalize the Ruijsenaars operator by the algebraic Bethe ansatz method.
PACS: 02.90.+p – Other topics in mathematical methods in physics / 05.90.+m – Other topics in statistical physics and thermodynamics / 75.10.Jm – Quantized spin models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
